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Finding the Fourth Proportional to 285,685.59, 428,618.94 and 171,957.96

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Solution

The fourth proportional to 285,685.59, 428,618.94 and 171,957.96 is: 257,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,685.59 : 428,618.94 = 171,957.96 : x
  2. Step 2: Convert to fraction form
    285,685.59/428,618.94 = 171,957.96/x
  3. Step 3: Cross multiply
    285,685.59x = 428,618.94 × 171,957.96
  4. Step 4: Simplify right side
    285,685.59x = 73,704,438,539.76
  5. Step 5: Solve for x
    x = 73,704,438,539.76/285,685.59
  6. Step 6: Final answer
    x = 257,991.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.